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Simplifying x(a + -4) = 3(1 + -1x) Reorder the terms: x(-4 + a) = 3(1 + -1x) (-4 * x + a * x) = 3(1 + -1x) Reorder the terms: (ax + -4x) = 3(1 + -1x) (ax + -4x) = 3(1 + -1x) ax + -4x = (1 * 3 + -1x * 3) ax + -4x = (3 + -3x) Solving ax + -4x = 3 + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. ax + -4x + 4x = 3 + -3x + 4x Combine like terms: -4x + 4x = 0 ax + 0 = 3 + -3x + 4x ax = 3 + -3x + 4x Combine like terms: -3x + 4x = 1x ax = 3 + 1x Divide each side by 'x'. a = 3x-1 + 1 Simplifying a = 3x-1 + 1 Reorder the terms: a = 1 + 3x-1
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